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Finding the Fourth Proportional to 75,759.68, 104,543.54 and 41,766.31

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Solution

The fourth proportional to 75,759.68, 104,543.54 and 41,766.31 is: 57,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,759.68 : 104,543.54 = 41,766.31 : x
  2. Step 2: Convert to fraction form
    75,759.68/104,543.54 = 41,766.31/x
  3. Step 3: Cross multiply
    75,759.68x = 104,543.54 × 41,766.31
  4. Step 4: Simplify right side
    75,759.68x = 4,366,398,213.54
  5. Step 5: Solve for x
    x = 4,366,398,213.54/75,759.68
  6. Step 6: Final answer
    x = 57,634.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.